Prime p₀= 2310212116183499789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2310210090194054591	0 2 26 72 98 126 138 162 176 200 212 240 266 312 336 338	-2025989445198
STPT(12)	2310210364170896249	0 2 60 62 72 74 138 140 150 152 210 212	-1752012603540
STPT(10)	2310210993981932927	0 2 30 32 42 44 54 56 84 86	-1122201566862
STPT(10)	2310211339161351719	0 2 42 44 60 62 78 80 120 122	-777022148070
SPT(16)	2310211722754837133	0 18 24 44 84 126 128 200 204 276 278 320 360 380 386 404	-393428662656
SPT(16)	2310212089610596669	0 12 58 72 78 82 84 142 150 208 210 214 220 234 280 292	-26572903120
STPT(10)	2310212139400721921	0 2 30 32 78 80 126 128 156 158	23217222132
SPT(16)	2310212369514889711	0 18 48 58 102 112 130 172 198 240 258 268 312 322 352 370	253331389922
STPT(10)	2310212431453327361	0 2 36 38 78 80 120 122 156 158	315269827572
STPT(10)	2310212470291386569	0 2 18 20 30 32 42 44 60 62	354107886780
SPT(16)	2310212989317092551	0 42 48 60 76 112 142 156 172 186 216 252 268 280 286 328	873133592762